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Synchronization in Networks of Nonlinear Circuits

Essential Topics with MATLAB® Code

  • Mattia Frasca
  • Lucia Valentina Gambuzza
  • Arturo Buscarino
  • Luigi Fortuna

Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)

Also part of the SpringerBriefs in Nonlinear Circuits book sub series (BRIEFSNONLINCIRC)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Mattia Frasca, Lucia Valentina Gambuzza, Arturo Buscarino, Luigi Fortuna
    Pages 1-14
  3. Mattia Frasca, Lucia Valentina Gambuzza, Arturo Buscarino, Luigi Fortuna
    Pages 15-38
  4. Mattia Frasca, Lucia Valentina Gambuzza, Arturo Buscarino, Luigi Fortuna
    Pages 39-56
  5. Mattia Frasca, Lucia Valentina Gambuzza, Arturo Buscarino, Luigi Fortuna
    Pages 57-73
  6. Mattia Frasca, Lucia Valentina Gambuzza, Arturo Buscarino, Luigi Fortuna
    Pages 75-91
  7. Mattia Frasca, Lucia Valentina Gambuzza, Arturo Buscarino, Luigi Fortuna
    Pages 93-107
  8. Mattia Frasca, Lucia Valentina Gambuzza, Arturo Buscarino, Luigi Fortuna
    Pages 109-109

About this book

Introduction

This book addresses synchronization in networks of coupled systems. It illustrates the main aspects of the phenomenon through concise theoretical results and code, allowing readers to reproduce them and encouraging readers to pursue their own experimentation.

The book begins by introducing the mathematical representation of nonlinear circuits and the code for their simulation. This is followed by a brief account of the concept of the complex network, which describes the main aspects of complex networks and the main model types, with a particular focus on the code used to study and reproduce the models. 

The focus then shifts to the process through which independent nonlinear circuits that follow different trajectories without coupling share some properties of their motion: synchronization. The authors present the main techniques for studying synchronization in complex networks, including the major measures, the stability properties and control techniques. The book then moves on to advanced topics in synchronization of complex networks by examining forms of synchronization in which not all the units share the same trajectory, namely chimera states, clustering synchronization, and relay and remote synchronization. Simple codes for experimentation with these topics and control methods are also provided. In closing, the book addresses the problem of synchronization in time-varying networks.

Keywords

Complex Networks Network Synchronization Global Synchonization Time-varying Networks Chimera States Dynamical Systems Control of Cluster Synchronization Multiplex Networks

Authors and affiliations

  • Mattia Frasca
    • 1
  • Lucia Valentina Gambuzza
    • 2
  • Arturo Buscarino
    • 3
  • Luigi Fortuna
    • 4
  1. 1.Department of Electrical, Electronic and Computer EngineeringUniversity of CataniaCataniaItaly
  2. 2.Department of Electrical, Electronic and Computer EngineeringUniversity of CataniaCataniaItaly
  3. 3.Department of Electrical, Electronic and Computer EngineeringUniversity of CataniaCataniaItaly
  4. 4.Department of Electrical, Electronic and Computer EngineeringUniversity of CataniaCataniaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-75957-9
  • Copyright Information The Author(s) 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-75956-2
  • Online ISBN 978-3-319-75957-9
  • Series Print ISSN 2191-530X
  • Series Online ISSN 2191-5318
  • Buy this book on publisher's site